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Finding the Fourth Proportional to 57,113.84, 78,819.68 and 31,963.34

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Solution

The fourth proportional to 57,113.84, 78,819.68 and 31,963.34 is: 44,110.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,113.84 : 78,819.68 = 31,963.34 : x
  2. Step 2: Convert to fraction form
    57,113.84/78,819.68 = 31,963.34/x
  3. Step 3: Cross multiply
    57,113.84x = 78,819.68 × 31,963.34
  4. Step 4: Simplify right side
    57,113.84x = 2,519,340,230.53
  5. Step 5: Solve for x
    x = 2,519,340,230.53/57,113.84
  6. Step 6: Final answer
    x = 44,110.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.